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Extreme DifferentionIn the Math Classroom
Dawn CraneMath-Science TeacherFrancis W. Parker Charter Essential SchoolDevens, MA
Welcome and Introduction
Goals of Workshop
Introductions
Typical Unit Structure
Differentiation of Instructional Methods
Differentiation of Assessment
Wrap Up
Goal of this Workshop
To learn/experience some methods of differentiated instruction in mathematics
To learn/experience some methods of differentiated assessment
Who Am I?
Dawn Crane
Francis W. Parker Charter Essential School
Currently teaching Division 2 (9th/10th ) grade Math
Have taught Division 1 (7th/8th) and Division 3 (11th/12th)
School Philosophy (10 common principles)
What Do I Call It
ExTREME
Differentiation?
Current Program Structure Students spend ~2 years in a “Division”.
Class contains 1st and 2nd year students
Variety of skill levels even within the 1st and 2nd year.
When needed, students who are in 11th grade or 3rd year continue in Division.
Occasionally an 8th grader will advance to Division 2 early
Overall, the class could contain 8th-11th graders, each at different levels of previous knowledge and pace of learning.
Classes are heterogeneously grouped…no tracking
The majority of students on an IEP are included in the general education classroom.
Who Is In the Room?
Name
School
What are you hoping to gain from this workshop today?
Think of Your Students
Student 1
Often struggles with the material
The pace can be too fast and would benefit from more practice
Critical thinking skills are not as strong as many of his/her peers.
Student 3
Feels like the work can be mundane.
Finishes “early” and accurately
or
Is always looking for a challenge and wants to have to think more deeply.
Student 2
Doing just fine.
Gets the work done & shows a reasonable understanding
Pace is usually about right.
Might need some extra help occasionally, but understands the material with moderate support.
TypicalStructure of Unit
Hook…whole class activity to peak students’ curiosity and interest
Initial Learning…whole class activities done in table groups
Students are provided a Unit Expectations Overview that tells them the skills they will learn and the options they have for learning and sometimes demonstrating that proficiency
Understanding Check…students hand in class work…teacher reviews and groups students accordingly
Practice…once basic concepts are introduced, students practice…self-paced (with teacher guidance)
On-going formative assessment while practicing informs need for reinstruction and going further work.
Summative Assessment….1 or 2 per unit, focusing on 1 or more “skill” areas
Forms of Differentiation for Instruction & Practice
How far a student completes and assignment (adjusting quantity)
Having extensions available that encourage more critical thinking
Grouping and regrouping based on need
Allowing/encouraging group conversation about the work
Using exit slips and formative assessment to group and regroup and decide on when to provide reinstruction and to whom
Having simplified and more complex versions of problems
Providing some choice
Minimizing homework…moving work into the classroom so students can receive more guidance and prompting.
Differentiation of
Instructional Methods
Introduction of Several Instructional Methods
Participants work as students with stations, video instruction,
IXL, Desmos
While you are working on any particular “method” be thinking
of your 3 students and how they would do, how each could
benefit from this method, what might be hard, etc.
Discussion/Debrief of activities and how different student
profiles would enter and exit the work.
Differentiation of
Instructional Methods
Discussion/Debrief of activities and how
different student profiles would enter and
exit the work.
Brief Break
Next Up:
Differentiated Assessment
Differentiation ofAssessment
Ways to Differentiate Assessment
Introduce Nesting Dolls Assessment
Participants Do the Assessment
Share Out-methods of approach/solutions
Discussion/Debrief: How would different profiles of students
approach the problem?
Video of students working in these settings.
Examine Student Work
Discussion: Supports
Forms of Differentiating for Assessment
Providing alternate ways to demonstrate
understanding of concepts.
Quizzes, IXL, oral revision, on the spot working of
problems
Providing “complexity” options within the assignment
Providing problems with multiple entry and exit points
Giving options for how the work is presented
Providing options based on interest.
Nesting Dolls
Nesting Doll Challenge
The Russian Nesting Doll is an intriguing toy for all ages. In this challenge you will determine if your nesting dolls are best modeled with an exponential function or a linear function (or some other function) and make a convincing argument for your choice.
Expectations: You will work with one set of nesting dolls.
Collect data on the dolls.
Determine which type of function would best model the growth/decay of your set of dolls.
Create a function that models the growth/decay of your set of dolls.
Provide EVIDENCE that your dolls are best modeled with this type of function and this function in particular.
Your EVIDENCE should include things like graphs, tables, equations, diagrams and you should use these representations to SHOW the reader why you believe that your claim is best.
There are no further specific guidelines. This is a pretty open ended assignment and your job is basically to convince me and do so by clearly communicating and supporting your claims.
Sharing OUR Work
So how did WE go about solving this problem?
What Do Students Look Like
Working on This Challenge?
Looking At Student Work
Wrap Up What techniques you might try when you
return to your classrooms or create your
next unit.
Interesting Classroom Resources
You can find the resources from THIS workshop at:
www.theparkerschool.org/pages/Francis_W_Parker_Charter_Esse/Classes/D2MST60
Other On-Line Resources:
IXL www.ixl.com
Desmos teacher.desmos.com (NO www.)student.desmos.com
Dan Meyer http://blog.mrmeyer.com
Geogebra www.geogebra.com
What You Will Find on My Website
Hook 1a, 1b, 1c
Initial Learning 2a, 2b
Unit Expectations Overview 4a
Understanding Check 8a
Practice 5a, 5b, 6a, 6b, 7a-f (instruction with practice)
On-going formative assessment 5c, 6c
Summative Assessment A2, A3
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